A normal distribution has a mean of 85.4 and a standard deviation of 4.88. Find the data value corresponding to the value of z given. (Enter your answer to four decimal places.)
z = −3.42
See previous post.
To find the data value corresponding to a given z-score, you can use the formula:
Data value = (z-score * standard deviation) + mean
In this case, the mean is 85.4 and the standard deviation is 4.88. The given z-score is -3.42.
Plugging in the values into the formula, we get:
Data value = (-3.42 * 4.88) + 85.4
Calculating this expression, we have:
Data value = -13.9056 + 85.4
Data value ≈ 71.4944
Therefore, the data value corresponding to a z-score of -3.42 is approximately 71.4944.